具有蒸发液滴两相介质近壁流动的数学分析

王柏懿; A. N. 欧西普措夫

具有蒸发液滴两相介质近壁流动的数学分析

王柏懿¹,
A. N. 欧西普措夫²

1.
中国科学院, 力学研究所, 非线性力学国家重点实验室, 北京, 100080;
2.
俄罗斯莫斯科大学, 力学研究所, 莫斯科, 119899

基金项目: 国家自然科学基金资助项目(19972069)

详细信息

作者简介:
王柏懿(1941- ),女,浙江绍兴人,研究员,主要研究领域为高速气体动力学、低温等离子体动力学和多相介质流体力学.

中图分类号: O359
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- 被引次数: 0
出版历程
- 收稿日期: 2001-07-30
- 修回日期: 2002-01-29
- 刊出日期: 2002-06-15

Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets

WANG Bo-yi¹,
A. N. Osiptsov²

1.
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P R China;
2.
Institute of Mechanics, Moscow State University, Moscow 119899, Russia

摘要

摘要: 在双连续介质理论框架下,采用匹配渐进展开方法导出并求解了具有蒸发液滴的汽雾流中层流边界层方程,给出了控制汽雾流的相似判据。对于沿曲面的流动,边界层方程的形式取决于是否存在液滴的惯性沉积。给出了热钝体驻点附近蒸汽-液滴边界层的数值计算结果。它们表明:由于蒸发,在边界层内近壁处形成了一个无液滴区域;在该区上边界处,液滴半径趋于零而液滴数密度急剧增高。液滴蒸发及聚集的联合效应造成了表面热流的显著增加,甚至在自由来流中液滴质量浓度很低时此效应依然存在。
- 两相介质 /
- 近壁流动 /
- 汽雾边界层 /
- 液滴蒸发 /
- 传热增强 /
- 聚集效应
Abstract: In the framework of the two-continuum approach,using the matched asymptotic expansion method,the equations of a laminar boundary layer in mist flows with evaporating droplets were derived and solved.The similarity criteria controlling the mist flows were determined.For the flow along a curvilinear surface,the forms of the boundary layer equations differ from the regimes of presence and absence of the droplet inertia deposition.The numerical results were presented for the vapor-droplet boundary layer in the neighborhood of a stagnation point of a hot blunt body.It is demonstrated that,due to evaporation,a droplet-free region develops near the wall inside the boundary layer.On the upper edge of this region,the droplet radius tends to zero and the droplet number density becomes much higher than that in the free stream.The combined effect of the droplet evaporation and accumulation results in a significant enhancement of the heat transfer on the surface even for small mass concentration of the droplets in the free stream.
- two-phase mixture /
- near-wall flow /
- mist boundary layer /
- droplet evaporation /
- heat transfer /
- accumulation effect

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参考文献(10)

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